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陰関数の微分

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\(\displaystyle\varphi'(x)=-\frac{f_x}{f_y}\)

\(\displaystyle\varphi^{\prime\prime}(x)=-\frac{f_{xx}{f_y}^2-2f_{xy}f_xf_y+f_{yy}{f_x}^2}{{f_y}^3}\)

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